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Simplifying 5y + 2(3y + -1) = 9y + -1(y + 2) Reorder the terms: 5y + 2(-1 + 3y) = 9y + -1(y + 2) 5y + (-1 * 2 + 3y * 2) = 9y + -1(y + 2) 5y + (-2 + 6y) = 9y + -1(y + 2) Reorder the terms: -2 + 5y + 6y = 9y + -1(y + 2) Combine like terms: 5y + 6y = 11y -2 + 11y = 9y + -1(y + 2) Reorder the terms: -2 + 11y = 9y + -1(2 + y) -2 + 11y = 9y + (2 * -1 + y * -1) -2 + 11y = 9y + (-2 + -1y) Reorder the terms: -2 + 11y = -2 + 9y + -1y Combine like terms: 9y + -1y = 8y -2 + 11y = -2 + 8y Add '2' to each side of the equation. -2 + 2 + 11y = -2 + 2 + 8y Combine like terms: -2 + 2 = 0 0 + 11y = -2 + 2 + 8y 11y = -2 + 2 + 8y Combine like terms: -2 + 2 = 0 11y = 0 + 8y 11y = 8y Solving 11y = 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 11y + -8y = 8y + -8y Combine like terms: 11y + -8y = 3y 3y = 8y + -8y Combine like terms: 8y + -8y = 0 3y = 0 Divide each side by '3'. y = 0 Simplifying y = 0
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